Random permutations of countable sets

DOI10.1007/BF01225824zbMath0722.60104OpenAlexW2052571582WikidataQ105577622 ScholiaQ105577622MaRDI QIDQ756299

Karl-Heinz Fichtner

Publication date: 1991

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01225824

zbMATH Keywords

Gibbs measureexistence and uniquenesscluster decompositionrandom decompositions of random point configurations

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Quantum equilibrium statistical mechanics (general) (82B10) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55)

Related Items (8)

The band structure of a model of spatial random permutation ⋮ Regenerative random permutations of integers ⋮ An integral characterization of random permutations. A point process approach ⋮ On a model of random cycles ⋮ Gaussian random permutation and the boson point process ⋮ Spatial random permutations and infinite cycles ⋮ Gibbs measures on permutations over one-dimensional discrete point sets ⋮ Finite cycle Gibbs measures on permutations of \(\mathbb Z^d\)

Cites Work

• Unnamed Item
• Point processes and the position distribution of infinite boson systems
• On the Position Distribution of the Ideal Bose Gas
• Ergodic decomposition of probability laws

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